Properties

Label 486720.c
Number of curves $1$
Conductor $486720$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 486720.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
486720.c1 486720c1 \([0, 0, 0, -20748, -1162928]\) \(-244674248/3125\) \(-12615782400000\) \([]\) \(1658880\) \(1.3233\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 486720.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 486720.c do not have complex multiplication.

Modular form 486720.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{5} - 5 q^{7} + q^{11} + 2 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display